{"as_of":"2026-08-13T17:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f9632fb8ab8f612e071138d45e7e89b400507cdfacd7171cdb89c4b8b20e58e0","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T10:33:12.576417Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-10T10:33:13.574319Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.12657","last_updated":"2025-02-19T16:22:52Z","snapshot_observed_at":"2026-08-13T11:06:56.328452Z","submitted_at":"2024-03-19T11:48:18Z","title":"Local spectral estimates and quantitative weak mixing for substitution $\\mathbb{Z}$-actions","version":3},"cited_work":{"arxiv_id":"2403.12657","doi":null,"metadata_source":"pith","pith_arxiv_id":"2403.12657","snapshot_observed_at":"2026-08-10T10:33:13.574319Z","title":"Local spectral estimates and quantitative weak mixing for substitution $\\mathbb{Z}$-actions","venue":"math.DS","work_id":"fd33d96c-1221-469f-9854-0b601c98c48a","year":2024},"citing_paper":{"arxiv_id":"2501.16824","last_updated":"2025-01-28T10:03:37Z","snapshot_observed_at":"2026-08-13T03:52:59.093449Z","submitted_at":"2025-01-28T10:03:37Z","title":"Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-10T10:33:12.576417Z"},"links":{"cited_paper":"/paper/2403.12657","citing_paper":"/paper/2501.16824"},"observation_digest":"sha256:7ea5bebd20f886e813003cdbe29f0fab209fe65ddcd23133d0250a95cb0dd23b","observation_id":"cc5274db-2e29-4ef3-b698-d525b822beba","resolution":{"observed_at":"2026-08-10T10:33:13.580242Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2403.12657/citation-record","integrity":"/paper/2403.12657/integrity","json":"/paper/2403.12657/citation-record.json","paper":"/paper/2403.12657"},"outbound":[],"paper":{"arxiv_id":"2403.12657","last_updated":"2025-02-19T16:22:52Z","latest_version":3,"primary_category":"math.DS","snapshot_observed_at":"2026-08-13T11:06:56.328452Z","submitted_at":"2024-03-19T11:48:18Z","title":"Local spectral estimates and quantitative weak mixing for substitution $\\mathbb{Z}$-actions"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2403.12657."}